667760 has 40 divisors (see below), whose sum is σ = 1647216. Its totient is φ = 250880.

The previous prime is 667753. The next prime is 667769. The reversal of 667760 is 67766.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1115 + ... + 1605.

2⁶⁶⁷⁷⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823608).

667760 is an abundant number, since it is smaller than the sum of its proper divisors (979456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

667760 is a wasteful number, since it uses less digits than its factorization.

667760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 667760 is about 817.1658338428. The cubic root of 667760 is about 87.4057761230.

The spelling of 667760 in words is "six hundred sixty-seven thousand, seven hundred sixty".